Least Common Multiple of 15239 and 15245
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15239 and 15245 the smallest integer that is 232318555 that is divisible by both numbers.
Least Common Multiple (LCM) of 15239 and 15245 is 232318555.
LCM(15239,15245) = 232318555
LCM of 15239 and 15245
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15239 and 15245 by Prime method
- Least Common Multiple of 15239 and 15245 with GCF Formula
LCM of 15239 and 15245 is 232318555
Least common multiple can be found by multiplying the highest exponent prime factors of 15239 and 15245. First we will calculate the prime factors of 15239 and 15245.
Prime Factorization of 15239
| 7 | 15239 |
| 7 | 2177 |
| 311 | 311 |
| 1 |
Prime factors of 15239 are 7,311. Prime factorization of 15239 in exponential form is:
15239 = 72×3111
Prime Factorization of 15245
| 5 | 15245 |
| 3049 | 3049 |
| 1 |
Prime factors of 15245 are 5,3049. Prime factorization of 15245 in exponential form is:
15245 = 51×30491
Now multiplying the highest exponent prime factors to calculate the LCM of 15239 and 15245.
LCM(15239,15245) = 51×72×3111×30491
LCM(15239,15245) = 232318555
Factors of 15239
List of positive integer factors of 15239 that divides 15239 without a remainder.
1, 7, 49, 311, 2177, 15239
Factors of 15245
List of positive integer factors of 15245 that divides 15245 without a remainder.
1, 5, 3049, 15245
Least Common Multiple of 15239 and 15245 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15239 and 15245, than apply into the LCM equation.
GCF(15239,15245) = 1
LCM(15239,15245) = ( 15239 × 15245) / 1
LCM(15239,15245) = 232318555 / 1
LCM(15239,15245) = 232318555
Properties of LCM 15239 and 15245
(i) The LCM of 15245 and 15239 is associative
LCM of 15239 and 15245 = LCM of 15245 and 15239
Related Least Common Multiples of 15239
Related Least Common Multiples of 15245
Frequently Asked Questions on LCM of 15239 and 15245
1. What is the LCM of 15239 and 15245?
Answer: LCM of 15239 and 15245 is 232318555.
2. What are the Factors of 15239?
Answer: Factors of 15239 are 1, 7, 49, 311, 2177, 15239. There are 6 integers that are factors of 15239. The greatest factor of 15239 is 15239.
3. What are the Factors of 15245?
Answer: Factors of 15245 are 1, 5, 3049, 15245. There are 4 integers that are factors of 15245. The greatest factor of 15245 is 15245.
4. How to Find the LCM of 15239 and 15245?
Answer:
Least Common Multiple of 15239 and 15245 = 232318555
Step 1: Find the prime factorization of 15239
15239 = 7 x 7 x 311
Step 2: Find the prime factorization of 15245
15245 = 5 x 3049
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 232318555 = 5 x 7 x 7 x 311 x 3049
Step 4: Therefore, the least common multiple of 15239 and 15245 is 232318555.